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What is the Least Common Multiple of 9568 and 9576?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 9568 and 9576 is 11452896.

LCM(9568,9576) = 11452896

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Least Common Multiple of 9568 and 9576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9568 and 9576, than apply into the LCM equation.

GCF(9568,9576) = 8
LCM(9568,9576) = ( 9568 × 9576) / 8
LCM(9568,9576) = 91623168 / 8
LCM(9568,9576) = 11452896

Least Common Multiple (LCM) of 9568 and 9576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9568 and 9576. First we will calculate the prime factors of 9568 and 9576.

Prime Factorization of 9568

Prime factors of 9568 are 2, 13, 23. Prime factorization of 9568 in exponential form is:

9568 = 25 × 131 × 231

Prime Factorization of 9576

Prime factors of 9576 are 2, 3, 7, 19. Prime factorization of 9576 in exponential form is:

9576 = 23 × 32 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 9568 and 9576.

LCM(9568,9576) = 25 × 131 × 231 × 32 × 71 × 191
LCM(9568,9576) = 11452896